Written by Jimmy Webb, ©1982
Found on The Last Unicorn Soundtrack, Your Move (French import only), Premium Gold Collection, Centenary Collection, and Highway.

When the last eagle flies over the last crumbling mountain
And the last lion roars at the last dusty fountain
In the shadow of the forest though she may be old and worn
They will stare unbelieving at the last unicorn

When the first breath of winter through the flowers is icing
And you look to the north and a pale moon is rising
And it seems like all is dying and would leave the world to mourn
In the distance hear the laughter of the last unicorn

I'm alive, I'm alive

When the last moon is cast over the last star of morning
And the future has passed without even a last desperate warning
Then look into the sky where through the clouds a path is torn
Look and see her how she sparkles, it's the last unicorn

I'm alive, I'm alive